Davydov-Chaban Hamiltonian within the formalism of deformation-dependent effective mass for Davidson potential

TL;DR

This paper introduces a modified Davydov-Chaban Hamiltonian with deformation-dependent mass for Davidson potential, providing analytical solutions and improved agreement with experimental data on platinum isotopes.

Contribution

It develops a new model incorporating deformation-dependent mass into the Davydov-Chaban Hamiltonian and derives exact analytical solutions using AIM.

Findings

The model accurately reproduces energy spectra of Pt isotopes.

It improves agreement with experimental B(E2) transition probabilities.

Analytical expressions are obtained for wave functions and spectra.

Abstract

In this work, we modify the Davydov-Chaban Hamiltonian describing the collective motion of a $\gamma$-rigid atomic nucleus by allowing the mass to depend on nuclear deformation. Exact analytical expressions are derived for energy spectra as well as normalized wave functions for Davidson potential. The model, called Z(4)-DDMD (Deformation Dependent Mass with Davidson potential), is achieved by using the Asymptotic Iteration Method (AIM). The numerical calculations for energy spectra and B(E2) transition probabilities are compared to the experimental data of $^{192-196}$Pt isotopes. The obtained results show an overall agreement with the experiment and an important improvement in respect to other models.